5(x+8)=2(2x+6)+20

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Solution for 5(x+8)=2(2x+6)+20 equation: 


Simplifying
5(x + 8) = 2(2x + 6) + 20

Reorder the terms:
5(8 + x) = 2(2x + 6) + 20
(8 * 5 + x * 5) = 2(2x + 6) + 20
(40 + 5x) = 2(2x + 6) + 20

Reorder the terms:
40 + 5x = 2(6 + 2x) + 20
40 + 5x = (6 * 2 + 2x * 2) + 20
40 + 5x = (12 + 4x) + 20

Reorder the terms:
40 + 5x = 12 + 20 + 4x

Combine like terms: 12 + 20 = 32
40 + 5x = 32 + 4x

Solving
40 + 5x = 32 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
40 + 5x + -4x = 32 + 4x + -4x

Combine like terms: 5x + -4x = 1x
40 + 1x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 1x = 32 + 0
40 + 1x = 32

Add '-40' to each side of the equation.
40 + -40 + 1x = 32 + -40

Combine like terms: 40 + -40 = 0
0 + 1x = 32 + -40
1x = 32 + -40

Combine like terms: 32 + -40 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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